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Finding the Fourth Proportional to 9,563.81, 13,198.44 and 5,314.84

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Solution

The fourth proportional to 9,563.81, 13,198.44 and 5,314.84 is: 7,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.81 : 13,198.44 = 5,314.84 : x
  2. Step 2: Convert to fraction form
    9,563.81/13,198.44 = 5,314.84/x
  3. Step 3: Cross multiply
    9,563.81x = 13,198.44 × 5,314.84
  4. Step 4: Simplify right side
    9,563.81x = 70,147,596.85
  5. Step 5: Solve for x
    x = 70,147,596.85/9,563.81
  6. Step 6: Final answer
    x = 7,334.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.